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Beliebt Rechnen >

y^{''}-2y^'+17y=e^xcos(4x)

Lösung

y^{^{''}} - 2 y^{^{'}} + 17 y = e^{x} cos (4 x)

Lösung

y = e^{x} (c_{1} cos (4 x) + c_{2} sin (4 x)) + \frac{e ^{x} x sin ( 4 x )}{8}

Schritte zur Lösung

y^{''} (x) - 2 y^{'} (x) + 17 y = e^{x} cos (4 x)

Solve linear ODE:

y = e^{x} (c_{1} cos (4 x) + c_{2} sin (4 x)) + \frac{e ^{x} x sin ( 4 x )}{8}

y = e^{x} (c_{1} cos (4 x) + c_{2} sin (4 x)) + \frac{e ^{x} x sin ( 4 x )}{8}

Graph

Beliebte Beispiele

y^{'''}-4y^'=xe^{2x}+x^2+sin(x)

y^{^{'''}} - 4 y^{^{'}} = x e^{2 x} + x^{2} + sin (x)

y^{''}-4y^'-12y=12t,y(0)=1,y^'(0)=-1

y^{^{''}} - 4 y^{^{'}} - 12 y = 12 t, y (0) = 1, y^{^{'}} (0) = - 1

y^{''''}+2y^{''}+y=5+cos(6t)

y^{^{''''}} + 2 y^{^{''}} + y = 5 + cos (6 t)

y^{''}-3y^'+2y=3e^x

y^{^{''}} - 3 y^{^{'}} + 2 y = 3 e^{x}

y^{''}+36y=5sec(6x)

y^{^{''}} + 36 y = 5 sec (6 x)